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worty [1.4K]
3 years ago
8

What is 12x12x14 equal to?

Mathematics
2 answers:
Kaylis [27]3 years ago
8 0

Answer:

2016

Step-by-step explanation:

Hope thos helpfull to tou

solmaris [256]3 years ago
7 0

Answer:

The answer is 2016.

Step-by-step explanation:

12 times 12 = 144.

144 times 14 = 2016.

I hope this helps you. Have a nice day.

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A building is 2 ft from a 7 - ft fence that surrounds the property . A worker wants to wash a window in the building 11 ft from
White raven [17]

<u>Answer:</u>

The height of the ladder is 14.491 feet

<u>Explanation</u>:

Given the height is 11 feet

Base = 7 + 2 = 9 feet

Consider the ladder to be the hypotenuse

Applying Pythagoras Theorem,  

H^2   = P^2 + B^2

Substituting the values in the above formula,

H^2  = 112 + 92

H^2  = 121 + 81

H^2 = 210

H = sqrt(210)

H = 14.491

Therefore, the height of the ladder is 14.491 feet

3 0
3 years ago
A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.
Anton [14]

Answer:

Height of cylinder is \frac{4}{5}\ ft.

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

R = \dfrac{D}{2}

So, radius, R = \frac{6}{2} \Rightarrow 3 feet

Let height of cylinder be h feet.

Formula for volume of cylinder is given by:

V = \pi R^{2} H

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

V = \dfrac{36 \pi}{5} ft^{3}

Using formula for volume, V = \pi R^{2} H

\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft

Hence, Height of cylinder is \frac{4}{5}\ ft.

7 0
3 years ago
In this activity, you'll calculate a probability and use it to predict the result of repeating a simple chance-based trial many
kompoz [17]
1) The outcomes for rolling two dice, the sample space, is as follows:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
There are 36 outcomes in the sample space.
2)  The ways to roll an odd sum when rolling two dice are:
(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5).  There are 18 outcomes in this event.
3)  The probability of rolling an odd sum is 18/36 = 1/2 = 0.5
3 0
3 years ago
Read 2 more answers
A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence
Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

n = 30 -- sample size

\bar x = 50 -- sample mean

\sigma = 10 --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{10}{\sqrt {30}}

\sigma_x = \frac{10}{5.478}

\sigma_x = 1.825

The 95% confidence interval for the z value is:

z = 1.960

Calculate margin of error (E)

E = z * \sigma_x

E = 1.960 * 1.825

E = 3.577

The confidence bound is:

Lower = \bar x - E

Lower = 50 - 3.577

Lower = 46.423

Lower = 46.4 --- approximated

Upper = \bar x + E

Upper = 50 + 3.577

Upper = 53.577

Upper = 53.6 --- approximated

<em>So, the 95% confidence interval is (46.4, 53.6)</em>

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{10}{\sqrt {90}}

\sigma_x = \frac{10}{9.49}

\sigma_x = 1.054

The 95% confidence interval for the z value is:

z = 1.960

Calculate margin of error (E)

E = z * \sigma_x

E = 1.960 * 1.054

E = 2.06584

The confidence bound is:

Lower = \bar x - E

Lower = 50 - 2.06584

Lower = 47.93416

Lower = 47.9 --- approximated

Upper = \bar x + E

Upper = 50 + 2.06584

Upper = 52.06584

Upper = 52.1 --- approximated

<em>So, the 95% confidence interval is (47.9, 52.1)</em>

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

n = 30     E = 3.577

In (b), we have:

n = 90    E = 2.06584

<em>Notice that the margin of error decreases when the sample size increases.</em>

4 0
3 years ago
A line has the equation 3x–4y–12=0. Write the equation in slope-intercept form.
rjkz [21]
The slope-intercept form: y = mx + b


3x-4y-12=0\ \ \ |+4y\\\\3x-12=4y\\\\4y=3x-12\ \ \ |:4\\\\y=\dfrac{3}{4}x-3
5 0
3 years ago
Read 2 more answers
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